Home / 2,449.16-3,378.96-1,564.88

Finding the Fourth Proportional to 2,449.16, 3,378.96 and 1,564.88

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Solution

The fourth proportional to 2,449.16, 3,378.96 and 1,564.88 is: 2,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.16 : 3,378.96 = 1,564.88 : x
  2. Step 2: Convert to fraction form
    2,449.16/3,378.96 = 1,564.88/x
  3. Step 3: Cross multiply
    2,449.16x = 3,378.96 × 1,564.88
  4. Step 4: Simplify right side
    2,449.16x = 5,287,666.92
  5. Step 5: Solve for x
    x = 5,287,666.92/2,449.16
  6. Step 6: Final answer
    x = 2,158.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.